Skip to main content

Table 2 Plastic properties of Al (\(\theta _0 = 300\)K)

From: Shock compression modeling of metallic single crystals: comparison of finite difference, steady wave, and analytical solutions

Property Definition Value Units
b Burgers vector 0.286 nm
\(N^k_0\) Initial dislocation density 0.56 \(1/\upmu\mathrm{m}^2 \)
\(f_0\) Initial mobile disloc. fraction 0.3
\(\dot{N}_0\) Homogeneous gen. factor \(7.2 \times 10^7\) \(1/(\upmu\mathrm{m}^2\) \(\upmu \)s)
\(g_{0hom}\) Homogeneous gen. parameter 0.04125
\(\tau _{0hom}/\mu _0\) Homogeneous gen. stress 0.05
\(\chi \) Mobile hom. disloc. fraction 0.08
\(\bar{x}/b\) Generation displacement 13.3
\(\alpha _{het}\) Heterogeneous gen. factor 320 \(1/\upmu\mathrm{m}^2 \)
m Heterogeneous gen. exponent 0.8
\(\tau _{min} / \mu _0\) Heterogeneous gen. bound 0.004
\(\tau _{max} / \mu _0\) Heterogeneous gen. bound 0.04
\(p_{mul}\) Multiplication probability 0.088
\(\alpha _{ann}\) Annihilation factor 0.25
\(\alpha _{tra}\) Trapping factor 0.051
\(\alpha _{pas}\) Passing strength factor 0.1
\(\alpha _{cut}\) Cutting strength factor 0.9
\(\nu _G \) Obstacle attempt frequency \(1 \times 10^5\) 1/\(\upmu \)s
\(B_0\) Drag coefficient 18.0 Pa \(\upmu \)s
\(p, \, q\) Strength exponents 0.5, 2